How to reduce 9/10 ×8

Karo-lina-s [1.5K]

Answer:

3 $a^{4}$ + 11a³ - 7a² + 18a - 18

Step-by-step explanation:

When multiplying with two brackets, you need to multiply the three terms, (a²), (4a) and (-6) from the first bracket to all the terms in the second brackets, (3a²), (-a) and (3) individually. I have put each multiplied term in a bracket so it is easier.

(a² + 4a - 6) × (3a² - a + 3) =

(a² × 3a²) + {a² × (-a)} + (a² × 3) + (4a × 3a²) + {4a × (-a)} + (4a × 3) + {(-6) × a²) + {(-6) × (-a)} + {(-6) × 3}

Now we can evaluate the terms in the brackets.

(a² × 3a²) + {a² × (-a)} + (a² × 3) + (4a × 3a²) + {4a × (-a)} + (4a × 3) + {(-6) × a²) + {(-6) × (-a)} + {(-6) × 3} =

3 $a^{4}$ + (-a³) + 3a² + 12a³ + (-4a²) + 12a + (-6a²) + 6a + (-18)

We can open the brackets now. One plus and one minus makes a minus.

3 $a^{4}$ + (-a³) + 3a² + 12a³ + (-4a²) + 12a + (-6a²) + 6a + (-18) =

3 $a^{4}$ -a³ + 3a² + 12a³ -4a² + 12a -6a² + 6a -18

Evaluate like terms.

3 $a^{4}$ -a³ + 3a² + 12a³ -4a² + 12a -6a² + 6a -18 = 3 $a^{4}$ + 11a³ - 7a² + 18a - 18

5 0

3 years ago

Which graph best represents the following situation?

hichkok12 [17]

Answer:

The correct option is D. The situations x increases, y decreases; r= -0.41 is represented by Graph D.

Step-by-step explanation:

Given information: x increases, y decreases; r= -0.41.

Here r represents the correlation between two variables x and y.

If r is close to -1, then it is strong negative correlation.

If r is close to 1, then it is strong Positive correlation .

If r is close to -0.5, then it is weak negative correlation.

If r is close to 0.5, then it is weak positive correlation .

If r=0, then there is no correlation between x and y.

In graph A, x increases, y decreases and r is close to -1 because it is strong negative correlation.

Therefore option A is incorrect.

In graph B, x increases, y increases and r is close to 0.5 because it is weak positive correlation.

Therefore option B is incorrect.

In graph C, x increases, y increases and r is close to 1 because it is strong positive correlation.

Therefore option C is incorrect.

In graph A, x increases, y decreases and r is close to -0.5 because it is weak negative correlation.

Therefore option D is correct.

4 0

3 years ago

Read 2 more answers

The product of two numbers is 342. if one number is 18, what is the other number.

padilas [110]

Answer:

19

Step-by-step explanation:

product is the answer of multiplying two numbers together

342/18=19

check

19x18=342

4 0

3 years ago

To increase an amount by 30%, what single multiplier would you use? and To decrease an amount by 30%, what single multiplier wou

Kamila [148]

Answer:

To increase, use 1.3

to decrease, use .7

Step-by-step explanation

6 0

3 years ago

I NEED YALL’S HELP 2x+12=64 Step by step

OverLord2011 [107]

Answer:

2x + 12 = 64

x = 26 (mark brain if this helps and is correct)

Step-by-step explanation:

to solve equations with one missing variable we must use the order of operations of equality

step 1: use the subtraction property of equality meaning subtract each side of the equation

ex: 2x + 12 - 12 = 64 - 12 (2x = 52)

step 2: use the division property of equality meaning divide each side of the equation by 2

ex: 2x/2 = 52/2 (x = 26)

step 3: check your answer by putting 26 as x because that is our answer

2(26) + 12 = 64 (multiply 2 * 26)

52 + 12 = 64 (add 52 + 12)

64 = 64 (if both sides of the equation are the same number like 64 = 64 then your answer is true meaning that x is equal to 26)

8 0

3 years ago